Question

(4/9)^-1=


A. -4/9

B. 9/4

C. -9/4

Answer 1

Answer: 9/4

Explanation: Think of
`((4)/(9))^(-1)`as
`(4^(-1) )/(9^(-1))`.

Now, we can change 4⁻¹ to 4¹ by moving it to the denominator and

we can change 9⁻¹ to 9¹ by moving it to the numerator.

So we have 9¹/4¹ which simplifies to 9/4.